Bilocal geodesic operators in static spherically-symmetric spacetimes

Serbenta, Julius; Korzyński, Mikołaj

doi:10.1088/1361-6382/ac79f3

Cited by 3 publications

(3 citation statements)

References 42 publications

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“…Lorentz-violating corrections to the Shapiro time delay have the potential to yield a constraint for SME coefficients. Once the spacetime metric is given, the standard method for studying the light propagation in a gravitational field is to solve the null geodesic equation or the eikonal equation [91][92][93]. For the light propagation in the Solar-System case, many solutions have been proposed in the post-Newtonian and post-Minkowskian approximations [94][95][96][97][98].…”

Section: Time Delay Of Light and Lorentz Violationmentioning

confidence: 99%

Testing Lorentz symmetry with space-based gravitational-wave detectors

Qin,

Ke,

et al. 2023

Class. Quantum Grav.

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Lorentz symmetry (LS), one of the most fundamental physical symmetries, has been extensively studied in the context of quantum gravity and unification theories. Many of these theories predict a LS violation, which could arise from the discreteness of spacetime, or extra dimensions. Standard-model extension (SME) is an effective field theory to describe Lorentz violation whose effects can be explored using precision instruments such as atomic clocks and gravitational-wave (GW) detectors. Considering the pure-gravity sector and matter-gravity coupling sector in the SME, we studied the leading Lorentz-violating modifications to the time delay of light and the relativistic frequency shift of the clock in the space-based GW detectors. We found that the six data streams from the GW mission can construct various combinations of measurement signals, such as single-arm round-trip path, interference path, triangular round-trip path, etc. These measurements are sensitive to the different combinations of SME coefficients and provide novel linear combinations of SME coefficients different from previous studies. Based on the orbits of TianQin, LISA, and Taiji missions, we calculated the response of Lorentz-violating effects on the combinations of the measurement signal data streams. Our results allow us to estimate the sensitivities for SME coefficients: $10^{-6}$ for the gravity sector coefficient $\bar{s}^{TT}$, $10^{-6}$ for matter-gravity coupling coefficients $(\bar{a}^{(e+p)}_{\text{eff}})_{T}$ and $\bar{c}^{(e+p)}_{TT}$, and $10^{-5}$ for $(\bar{a}^{n}_{\text{eff}})_{T}$ and $\bar{c}^{n}_{TT}$.

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Section: Time Delay Of Light and Lorentz Violationmentioning

confidence: 99%

Testing Lorentz symmetry with space-based gravitational-wave detectors

Qin,

Ke,

et al. 2023

Class. Quantum Grav.

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“…The last observable that we consider in this paper is the redshift drift ζ, given in terms of the BGO by [32],…”

Section: Optical Observables With Bigonlightmentioning

confidence: 99%

“…The reader can find the derivation of the equations ( 55)-( 59) in [20,32,33]. All the expressions in equations ( 55), ( 58) and ( 59) are new with respect to the standard approach, in the sense that these observables are expressed within a new, unified framework.…”

Section: Optical Observables With Bigonlightmentioning

confidence: 99%

BiGONLight: light propagation with bilocal operators in numerical relativity

Grasso

Villa

2021

Class. Quantum Grav.

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BiGONLight, Bilocal Geodesic Operators framework for Numerical Light propagation, is a new tool for light propagation in Numerical Relativity. The package implements the Bi-local Geodesic Operators formalism, a new framework for light propagation in General Relativity. With BiGONLight it is possible to extract observables such as angular diameter distance, luminosity distance, magnification as well as new real-time observables like parallax and redshift drift within the same computation. As a test-bed for our code we consider two exact cosmological models, the ΛCDM and the inhomogeneous Szekeres model, and a simulated dust universe. All our tests show an excellent agreement with known results.

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Algebraic symmetries of the observables on the sky: Variable emitters and observers

Korzyński,

Uzun

2024

Phys. Rev. D

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In this paper we prove a number of exact relations between optical observables, such as trigonometric parallax, position drift, and the proper motion of a luminous source, in addition to the variations of redshift and the viewing angle. These relations are valid in general relativity for any spacetime, and they are of potential interest for astrometry and precise cosmology. They generalize the well-known Etherington’s reciprocity relation between the angular diameter distance and the luminosity distance. Similar to the Etherington’s relation, they hold independently of the spacetime metric, the positions, and the motions of a light source or an observer. We show that those relations follow from the symplectic property of the bilocal geodesic operator, i.e., the geometric object that describes the light propagation between two distant regions of a spacetime. The set of relations we present is complete in the sense that no other relations between those observables should hold, in general. In the meantime, we develop the mathematical machinery of the bilocal approach to light propagation in general relativity and its corresponding Hamiltonian formalism. Published by the American Physical Society 2024

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Bilocal geodesic operators in static spherically-symmetric spacetimes

Cited by 3 publications

References 42 publications

Testing Lorentz symmetry with space-based gravitational-wave detectors

Testing Lorentz symmetry with space-based gravitational-wave detectors

BiGONLight: light propagation with bilocal operators in numerical relativity

Algebraic symmetries of the observables on the sky: Variable emitters and observers

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